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- W2112854811 abstract "We study the Hochschild homology of smooth spaces, emphasizing the importance of a pairing which generalizes Mukai's pairing on the cohomology of K3 surfaces. We show that integral transforms between derived categories of spaces induce, functorially, linear maps on homology. Adjoint functors induce adjoint linear maps with respect to the Mukai pairing. We define a Chern character with values in Hochschild homology, and we discuss analogues of the Hirzebruch-Riemann-Roch theorem and the Cardy Condition from physics. This is done in the context of a 2-category which has spaces as its objects and integral kernels as its 1-morphisms." @default.
- W2112854811 created "2016-06-24" @default.
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- W2112854811 date "2007-07-13" @default.
- W2112854811 modified "2023-09-27" @default.
- W2112854811 title "The Mukai pairing, I: a categorical approach" @default.
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